Point C (4, 2) divides the line segment joining points A (2, -1) and B (x, y) such that AC: CB = 3.1 what are the coordinates of point B?

The coordinates of B are .

Solution:

Given A(2, –1), B(x, y) and C(4, 2)

AB is a line segment C is a point on AB.

AC : CB = 3 : 1

To find the coordinates of B:

Section formula:

The point divides the line segment and in the ratio

m : n are

Here, and m = 3, n = 1

Using section formula,

Substitute the given values in the section formula.

Equate the x-coordinates and y-coordinates.

Hence the coordinates of B are .

square root

step-by-step explanation:

a

step-by-step explanation:

the answer is a